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zhuklara [117]
3 years ago
5

What is a reasonable estimate for the quotient

Mathematics
1 answer:
Yanka [14]3 years ago
8 0
A quotient is the division of two numbers/ obtained by dividing one quality by another.
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Angles α and β are angles in standard position such that: α terminates in Quadrant I and sinα = 3/5 β terminates in Quadrant III
Arte-miy333 [17]

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since  sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

5 0
3 years ago
Help please! I need the area of this given figure. The formula is A=1/2(b1+b2)h
Pie

Answer:

108 ft

Correct me, if I am wrong :)

have a great day!

Thanks!

8 0
3 years ago
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Help please I would appreciate it ! 10 points
Helen [10]

Answer:

B and d

Step-by-step explanation:

b and d

3 0
3 years ago
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What is the answer to 2(x+4)-3
gizmo_the_mogwai [7]
2x+8-3
8-3=5
5/2= 2.5
4 0
3 years ago
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HELP!!! i already found x, can someone please help me find y asap?
tamaranim1 [39]

Answer:

Y = 166

Step-by-step explanation:

The missing angle measure in the small trapezoid is 93 degrees. So to solve for “y” you have to make the expression equal to 93.

y - 73 = 93

y = 166

Hope this helps! Pls give brainliest!

8 0
3 years ago
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